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Finding the Fourth Proportional to 142,765.68, 197,016.30 and 79,103.64

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Solution

The fourth proportional to 142,765.68, 197,016.30 and 79,103.64 is: 109,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,765.68 : 197,016.30 = 79,103.64 : x
  2. Step 2: Convert to fraction form
    142,765.68/197,016.30 = 79,103.64/x
  3. Step 3: Cross multiply
    142,765.68x = 197,016.30 × 79,103.64
  4. Step 4: Simplify right side
    142,765.68x = 15,584,706,469.33
  5. Step 5: Solve for x
    x = 15,584,706,469.33/142,765.68
  6. Step 6: Final answer
    x = 109,162.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.